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Help me figure this one out

  1. Sep 14, 2004 #1
    Help me figure this one out!!!

    For a certain commodity, the demand equation is given by D= -5p + 5=. At a price of $1, twelve units of the commodity are supplied. If the supply equation is linear and the market price is $4, find the supply equation.

    Answer:

    For this one I have come up with a formula of:

    s= ap+b where p if the varialbe, price, and a,b are constants

    s is supply.

    I think I have to find a and b but amd not sure.

    Can someone help me with figure this one out...
     
  2. jcsd
  3. Sep 14, 2004 #2

    HallsofIvy

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    Science Advisor

    Yes, since you are told that the supply equation is linear, it must be of the form
    s= ap+ b. Further, you are told that "At a price of $1, twelve units of the commodity are supplied"- that is, when p= 1, s= 12 so 12= a(1)+ b or a+ b= 1. That means that b= 1- a and the supply equation can be written s= ap+ 1- a. Finally, you are told that the "Market price is $4" which means that the value of p at which the supply and demand equations give s= D is 4. The demand equation is D= -5p + 5. When p= 4, what is D? Now that you know D, you also know s: s= D. Put that value of s as well as p= 4 into the supply equation and solve for a.
     
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